The acceleration of a particle starting from rest varies with time according to relation, . The velocity of the particle at time instant t is: (\(Here, a=\frac{dv}{dt}\))
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2.
3.
4.
The acceleration of a particle is given by a=3t at t=0, v=0, x=0. The velocity and displacement at t = 2 sec will be:
(\(Here, a=\frac{dv}{dt}~ and~v=\frac{dx}{dt}\))
1. 6 m/s, 4 m
2. 4 m/s, 6 m
3. 3 m/s, 2 m
4. 2 m/s, 3 m
Given velocity v(t)=. Assume s(t) is measured in meters and t is measured in seconds. If s(0)=0, the position s(4) at t=4s is:
1. | 30 | 2. | 31 |
3. | 32 | 4. | 33 |
If the force on an object as a function of displacement is , what is work as a function of displacement . Assume W(0)=0 and force is in the direction of the object's motion.
1.
2.
3. 6x+1
4.
The current through a wire depends on time as i =(2+3t) A.
The charge that crosses through the wire in 10 seconds is:
1. 150 C
2. 160 C
3. 170 C
4. None of there
The impulse due to a force on a body is given by I=. If the force applied on a body is given as a function of time (t) as , then impulse on the body between t=3 sec to t = 5 sec is:
1. 175 kg-m/sec
2. 41 kg-m/sec
3. 216 kg-m/sec
4. 124 kg-m/sec
The work done by gravity exerting an acceleration of -10 m/ for a 10 kg block down 5 m from its original position with no initial velocity is:
1. 250 J
2. 500 J
3. 100 J
4. 1000 J
Work done by a force (F) in displacing a body by dx is given by W=. If the force is given as a function of displacement (x) by , then work done by the force from x=0 to x=3 m is:
1. 3 J
2. 6 J
3. 9 J
4. 21 J
If acceleration of a particle is given as a(t)=sin(t)+2t. Then the velocity of the particle will be:
(acceleration )
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2.
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4. None of these